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Finding the Third Proportional to 377,064 and 780,376

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Solution

The third proportional to 377,064 and 780,376 is: 1,615,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,064 : 780,376 = 780,376 : x
  2. Step 2: Convert to fraction form
    377,064/780,376 = 780,376/x
  3. Step 3: Cross multiply
    377,064x = 780,376 × 780,376
  4. Step 4: Simplify right side
    377,064x = 608,986,701,376
  5. Step 5: Solve for x
    x = 608,986,701,376/377,064
  6. Step 6: Final answer
    x = 1,615,075.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.